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A mathematical model was developed to investigate the water vapor condensation under supersonic flow conditions. A numerical simulation was performed for the water vapor in nozzle with the model with various initial concentration and sizes of exoteric nuclei. It was found that the influences of the radius of on the condensation are different for different concentration of the exoteric nuclei and the effects of the concentration of the exoteric nuclei on the condensation are different for the exoteric nuclei of different radius. Therefore it is of basic importance to introduce external particles of proper sizes and condensation in order to enhance the condensation of steam in nozzle. It was found that the liquid mass fraction at outlet of nozzle is maximal when the particle radius is 1.0 × 10-9 m the particle concentration is 1.0 × 1014/ kg for the Laval nozzle and the condition studied.
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